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Frustrated Quantum Magnets

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arxiv cond-mat/0502464 v1 pith:SF76KCXA submitted 2005-02-18 cond-mat.str-el

Claire Lhuillier This is my paper · ORCID
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A description of different phases of two dimensional magnetic insulators is given. The first chapters are devoted to the understanding of the symmetry breaking mechanism in the semi-classical Neel phases. Order by disorder selection is illustrated. All these phases break SU(2) symmetry and are gapless phases with magnon excitations. Different gapful quantum phases exist in two dimensions: the Valence Bond Crystal phases (VBC) which have long range order in local S=0 objects (either dimers in the usual Valence Bond acception or quadrumers..), but also Resonating Valence Bond Spin Liquids (RVBSL), which have no long range order in any local order parameter and an absence of susceptibility to any local probe. VBC have gapful S = 0, or 1 excitations, RVBSL on the contrary have deconfined spin-1/2 excitations. Examples of these two kinds of quantum phases are given in chapters 4 and 5. A special class of magnets (on the kagome or pyrochlore lattices) has an infinite local degeneracy in the classical limit: they give birth in the quantum limit to different behaviors which are illustrated and questionned in the last lecture.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spiral Phase and Phase Diagram of the $S$=1/2 XXZ Model on the Shastry-Sutherland Lattice

    cond-mat.str-el 2026-01 conditional novelty 7.0 of 10

    A new incommensurate spiral phase is found in the S=1/2 XXZ Shastry-Sutherland model at small anisotropy, while the empty-plaquette phase narrows as anisotropy grows.

  2. Spontaneous continuous-symmetry breaking and tower of states in a comb chain

    cond-mat.str-el 2025-06 unverdicted novelty 6.0 of 10

    Reports spontaneous continuous symmetry breaking and a tower of states in a 1D comb-chain antiferromagnet with short-range interactions, linked to the Marshall-Lieb-Mattis theorem.

  3. Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet

    cond-mat.mes-hall 2025-06 conditional novelty 6.0 of 10

    Spin-phonon coupling to optical phonons drives multiple topological phase transitions in the magnon-polaron bands of a frustrated kagome antiferromagnet, changing Chern numbers and thermal Hall conductivity.

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